EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Real Numbers
Grade : SSC Grade X
License : Non Commercial Use
Question
1
1.
Express
log
p
2
q
5
in terms of
log
p
and
log
q
(i)
2
log
p
−
5
log
q
(ii)
2
log
p
+
5
log
q
(iii)
2
5
log
p
log
q
(iv)
5
log
q
−
2
log
p
Question
2
2.
If
log
7
x
=
a
and
log
7
y
=
b
, then
7
(
a
+
b
)
=
(i)
7
(ii)
a
b
(iii)
y
b
(iv)
x
y
(v)
a
x
Question
3
3.
Which of the following are true?
a)
20
9
✕
(
46
5
−
18
19
)
=
(
20
9
✕
46
5
)
−
(
20
9
✕
18
19
)
b)
17
16
−
(
46
5
✕
2
19
)
=
(
17
16
−
46
5
)
✕
(
17
16
−
2
19
)
c)
20
9
✕
(
92
9
+
17
4
)
=
(
20
9
✕
92
9
)
+
(
20
9
✕
17
4
)
d)
17
16
÷
(
92
9
+
17
12
)
=
(
17
16
÷
92
9
)
+
(
17
16
÷
17
12
)
(i)
{a,c}
(ii)
{b,c,a}
(iii)
{d,c}
(iv)
{b,a}
(v)
{b,d,a}
Question
4
4.
Simplify the expression
5
2
✕
5
5
(i)
2
7
(ii)
5
6
(iii)
5
8
(iv)
7
7
(v)
5
7
Question
5
5.
Find the total number of factors of
27
(i)
7
(ii)
3
(iii)
5
(iv)
2
(v)
4
Question
6
6.
Find the exponential notation of
-4
✕
-4
✕
-4
✕
-4
✕
-4
✕
-4
✕
-4
(i)
(-4)
7
(ii)
(-1)
7
(iii)
(-7)
7
(iv)
(-4)
6
(v)
(-4)
8
Question
7
7.
Which of the following is a decimal fraction?
(i)
5
8
(ii)
8
10000
(iii)
17
7
(iv)
17
1
2
(v)
15
4
7
Question
8
8.
Express
3
10
as a decimal correct to 4 decimal places
(i)
0.4
(ii)
0.5
(iii)
0.1
(iv)
0.3
(v)
0.2
Question
9
9.
log
9
81
=
(i)
0
(ii)
4
(iii)
2
(iv)
1
(v)
3
Question
10
10.
Find the exponential notation of
(
-5
3
)
✕
(
-5
3
)
✕
(
-5
3
)
(i)
2
(
-5
3
)
(ii)
(-1)
3
(iii)
4
(
-5
3
)
(iv)
3
(
-7
3
)
(v)
3
(
-5
3
)
Question
11
11.
log
68
4
=
(i)
log
68
−
log
4
(ii)
log
68
÷
log
4
(iii)
log
68
✕
log
4
(iv)
4
log
68
(v)
log
68
+
log
4
Question
12
12.
Simplify the expression
(
-9
2
)
(-2)
✕
(
-9
2
)
(-2)
(i)
(-2)
-10
(ii)
(-2)
-9
(iii)
(-2)
-8
(iv)
(-5)
-9
(v)
(-2)
-6
Question
13
13.
Express
77
18
as a decimal correct to 1 decimal places
(i)
4.4
(ii)
4.5
(iii)
4.2
(iv)
4.3
(v)
4.1
Question
14
14.
The base of
log
2.00
22.0000
is
(i)
22
(ii)
1
(iii)
2
(iv)
5
(v)
2
-2
Question
15
15.
log
0.8427
+
log
0.5301
=
(i)
log
7.4467
(ii)
log
1.4467
(iii)
log
8.4467
(iv)
log
0.4467
(v)
log
2.4467
Question
16
16.
If
log
8
x
=
a
and
log
8
y
=
b
, then
8
3
b
=
(i)
3
y
(ii)
3
b
(iii)
y
3
(iv)
x
3
(v)
a
3
Question
17
17.
log
8
3
100
10
=
(i)
10
log
100
÷
3
log
8
(ii)
3
log
8
÷
10
log
100
(iii)
10
log
100
✕
3
log
8
(iv)
10
log
100
−
3
log
8
(v)
10
log
100
+
3
log
8
Question
18
18.
log
27
81
=
(i)
9.3333
(ii)
1.3333
(iii)
3.3333
(iv)
0.3333
(v)
2.3333
Question
19
19.
Convert the fraction
205
18
to non-terminating recurring decimal
(i)
1.13
8
(ii)
1138.
8
(iii)
113.
8
(iv)
0.
1
(v)
11.3
8
Question
20
20.
Express
log
10
x
3
y
4
z
2
in terms of
log
10
x
,
log
10
y
and
log
10
z
(i)
3
log
10
x
+
4
log
10
y
−
2
log
10
z
(ii)
3
log
10
x
+
4
log
10
y
+
2
log
10
z
(iii)
3
log
10
x
−
4
log
10
y
−
2
log
10
z
(iv)
3
log
10
x
−
4
log
10
y
+
2
log
10
z
(v)
3
log
10
x
−
2
log
10
z
+
4
log
10
y
Question
21
21.
log
75.7700
−
log
36.3600
=
(i)
log
4.0839
(ii)
log
2.0839
(iii)
log
3.0839
(iv)
log
1.0839
(v)
log
0.0839
Question
22
22.
If
(
x
4
+
y
4
)
=
23
x
2
y
2
, then
log
(
x
2
+
y
2
)
=
(i)
log
x
−
log
y
+
log
5
(ii)
log
x
+
log
y
+
log
5
(iii)
log
x
−
log
y
−
log
5
(iv)
log
x
+
log
y
−
log
5
Question
23
23.
Express
11
100
as a decimal correct to 2 decimal places
(i)
0.01
(ii)
0.21
(iii)
-0.09
(iv)
1.1
(v)
0.11
Question
24
24.
Find the value of
x
if
log
√
4
(
6
x
−
3
)
=
2
(i)
3
2
(ii)
5
6
(iii)
5
4
(iv)
9
8
(v)
7
6
Question
25
25.
Find the number of prime factors of
6
(i)
1
(ii)
4
(iii)
2
(iv)
3
(v)
0
Assignment Key
1) (ii)
2) (iv)
3) (i)
4) (v)
5) (v)
6) (i)
7) (ii)
8) (iv)
9) (iii)
10) (v)
11) (i)
12) (ii)
13) (iv)
14) (iii)
15) (iv)
16) (iii)
17) (i)
18) (ii)
19) (v)
20) (i)
21) (ii)
22) (ii)
23) (v)
24) (v)
25) (iii)
